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Elements of nonlinear analysis /

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This textbook explores the vast field of nonlinear analysis by emphasizing the underlying ideas rather than the sophisticated refinements of the theory. Two classical examples from physics, namely elasticity and diffusion, serve to motivate the theoretical parts that are then applied to various aspe...

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Bibliographic Details
Main Author: Chipot, M. (Michel)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Basel ; Boston : Birkhäuser Verlag, 2000.
Series:Birkhäuser advanced texts.
Subjects:
Nonlinear functional analysis.
analyse asymptotique.
unicité.
minimisation.
Problème parabolique.
problème elliptique.
Diffusion.
élasticité.
analyse non linéaire.
Niet-lineaire analyse.
Analyse fonctionnelle non linéaire.
Nichtlineare Analysis.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Ch. 1. Some Physical Motivations
  • Ch. 2. A Short Background in Functional Analysis
  • Ch. 3. Elliptic Linear Problems
  • Ch. 4. Elliptic Variational Inequalities
  • Ch. 5. Nonlinear Elliptic Problems
  • Ch. 6. A Regularity Theory for Nonlocal Variational Inequalities
  • Ch. 7. Uniqueness and Nonuniqueness Issues
  • Ch. 8. Finite Element Methods for Elliptic Problems
  • Ch. 9. Minimizers
  • Ch. 10. Minimizing Sequences
  • Ch. 11. Linear Parabolic Equations
  • Ch. 12. Nonlinear Parabolic Problems
  • Ch. 13. Asymptotic Analysis.